# Log Manipulation Urgent Question

#### mmmwa

##### New member
log p(X) = 5
log p(Y) = 2

find the value of log XY(p)

I've attempted changing the base of the original equations but am stuck with little idea of how to proceed.

#### nasi112

##### Full Member
Use logarithm properties such as $$\displaystyle \log xy = \log x + \log y$$

#### Dr.Peterson

##### Elite Member
log p(X) = 5
log p(Y) = 2

find the value of log XY(p)

I've attempted changing the base of the original equations but am stuck with little idea of how to proceed.
Please clarify your notation. Does "log p(X)", to you, mean $$\log(p(X))$$ or $$\log_p(X)$$ or $$\log_X(p)$$? That is, what is the base?

Either give us an image of the problem, or explain what it means in words, so we can be sure. Or, use standard notation, with "_" to indicate a subscript.

I'm guessing that you mean:

$$\log_p(X) = 5$$​
$$\log_p(Y) = 2$$​
$$\log_{XY}(p) = ?$$​

If so, do you know the change of base formula?